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DBLP
Article . 2021
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Type-2 Fuzzy Hypergraphs Using Type-2 Fuzzy Sets

Authors: Seihwan Park; Hyung Lee-Kwang;

Type-2 Fuzzy Hypergraphs Using Type-2 Fuzzy Sets

Abstract

Hypergraphs have been applied to analyze system architecture and to represent system partitions. The concept of ordinary hypergraphs was extended to fuzzy and interval-valued fuzzy hypergraphs. In this paper, we extend fuzzy hypergraphs to type-2 fuzzy hypergraphs. Type-2 fuzzy hypergraphs are defined using type-2 fuzzy sets and satisfy the properties of hypergraphs as well as additional properties. We also show that interval-valued fuzzy hypergraphs are a special case of proposed type-2 fuzzy hypergraphs. The properties of type-2 fuzzy hypergraphs are explained using simple examples.

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Top 10%
Average
gold